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Finding the Third Proportional to 13,695.33 and 21,397.29

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Solution

The third proportional to 13,695.33 and 21,397.29 is: 33,430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695.33 : 21,397.29 = 21,397.29 : x
  2. Step 2: Convert to fraction form
    13,695.33/21,397.29 = 21,397.29/x
  3. Step 3: Cross multiply
    13,695.33x = 21,397.29 × 21,397.29
  4. Step 4: Simplify right side
    13,695.33x = 457,843,979.22
  5. Step 5: Solve for x
    x = 457,843,979.22/13,695.33
  6. Step 6: Final answer
    x = 33,430.67

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.